Question

One end of a resistance r capacitance C and resistance 2r are connected together. The other ends are respectively connected to the positive terminals of the batteries P, Q, R having respectively e.m.f s E, E and 2E. The negative terminals of the batteries are then connected together. In this circuit, with steady current the potential drop across the capacitance is:

• A. 1) E/3
• B. 2) E/2
• C. 3) 2E/3
• D. 4) E

Answer 1

The correct option is A 1) E/3

In steady state ,$I_0^{{}^{\prime }}=0$
$-E=I\times 3r$
$i=\frac{-E}{3r}$
$[\frac{E}{3r}\times r]+E=V_C+E$ [KVl in loop 1]
$V_C=\frac{E}{3}$